Thursday, October 06, 2005

Math Nerd

The math below is wrong. I've tried working out the real math or something close to it, but man is it complicated. Approximations are easier and may be close enough for political purposes, but it's hard if you like being precise. I tried making a spreadsheet but fairly quickly my numbers no longer matched the proposed salary schedules, so I must have been doing something wrong, but I don't know what.

The 15% raise over 4 years works out to only 3.75% per year. If you factor in the additional days and extra time we end up working an additional 8 days. Do the Math: 50 minutes per week X 40 weeks = 2000 minutes. 2000 divided by 60 = 33.33 hours. 33.33 hours = 5 days. 5 days (from 10 minutes per day) + 3 Days = 8 Days). The school year is 180 days. 8 days of increased labor is a 4.44% increase in time worked. So, if we ratify this contract we would be willing to work an additional 4.44% of time for a 3.75% increase in wages along with all the givebacks.

Here's why this is wrong:

1. I think the thing to do if you have all night is to figure out how much you'd make over the entire time of the contract under the old contract, then recalculate under the new contract, given all the stuff below, then compare to the percent of additional time.

2. It's not 15% divided evenly among 4 years. To figure it out accurately, you'd have to take it segment by segment, a 2% increase from 12/03, 3.5% from 12/04, etc. Also, I think each increase compounds on the next. In other words, once you figure the 2% raise, then you figure the next year's increase using the previous year's salary including the previous year's increase, and the third increase builds upon the first two, and so on.

3. I looked back at the old salary schedule. Each year, esp. early in your career, you go up a step on the schedule with a little increase built in. I'm not sure how to incorporate this increase - will it stay the same, grow proportionately, or grow at some different rate?

4. The math about how much extra we are working seems about right for any given year. However, as we are halfway (roughly) into the contract, the extra time only applies for the end of the contract (if it starts in February 06, that's about 16 teaching months under the extra 10 minutes & extra days). The math above calculated that 1 year of teaching would have about 8 extra days. So 16 months should be about 1 1/3 of that, or less than 11 days. However, I think that all the new full days - BQ Day & the days before Labor Day - would fall twice within the 16 month period, so let's say it is more like 14 extra days. Under the old contract, we'd have worked about 720 days within the contract period, probably more since it starts in June and ends in October. Anyway, 14 is roughly 2% of 720.

5. Do we get interest on the retroactive pay? If so, that has to be compounded from each pay period at some rate unknown to me?

6. I hear the retroactive pay is not what it "should" be given the terms of the pay increase. That could be to take into account that we can't work retroactive hours. Regardless, how will it be calculated?

Those negotiators must have quite a spreadsheet with lots of stuff to fill in every time they float a new idea...

I'm sure I've misunderstood some of this stuff. Please tell me where.


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